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Finding the Fourth Proportional to 466,057.80, 697,480.38 and 286,023.72

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Solution

The fourth proportional to 466,057.80, 697,480.38 and 286,023.72 is: 428,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,057.80 : 697,480.38 = 286,023.72 : x
  2. Step 2: Convert to fraction form
    466,057.80/697,480.38 = 286,023.72/x
  3. Step 3: Cross multiply
    466,057.80x = 697,480.38 × 286,023.72
  4. Step 4: Simplify right side
    466,057.80x = 199,495,932,914.61
  5. Step 5: Solve for x
    x = 199,495,932,914.61/466,057.80
  6. Step 6: Final answer
    x = 428,049.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.